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58128617 is a prime number
BaseRepresentation
bin1101110110111…
…1100011101001
311001101020110202
43131233203221
5104340103432
65433521545
71304041121
oct335574351
9131336422
1058128617
112a8a2988
12175732b5
13c073241
147a11c81
155183462
hex376f8e9

58128617 has 2 divisors, whose sum is σ = 58128618. Its totient is φ = 58128616.

The previous prime is 58128599. The next prime is 58128643. The reversal of 58128617 is 71682185.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36048016 + 22080601 = 6004^2 + 4699^2 .

It is a cyclic number.

It is not a de Polignac number, because 58128617 - 28 = 58128361 is a prime.

It is a super-3 number, since 3×581286173 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (58128667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29064308 + 29064309.

It is an arithmetic number, because the mean of its divisors is an integer number (29064309).

Almost surely, 258128617 is an apocalyptic number.

It is an amenable number.

58128617 is a deficient number, since it is larger than the sum of its proper divisors (1).

58128617 is an equidigital number, since it uses as much as digits as its factorization.

58128617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 38.

The square root of 58128617 is about 7624.2125495031. The cubic root of 58128617 is about 387.3735795719.

The spelling of 58128617 in words is "fifty-eight million, one hundred twenty-eight thousand, six hundred seventeen".